Contemporary Mathematics. Fundamental Directions
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Contemporary Mathematics. Fundamental Directions, 2011, Volume 42, Pages 36–47 (Mi cmfd188)  
Synthesis of the optimal control of linear logical-dynamical systems under instant multiple switchings of the automaton part

A. S. Bortakovskii, E. A. Pegachkova

Moscow Aviation Institute, Volokolamskoe Shosse, 4, 125993, Moscow, Russia
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Abstract: We consider a dynamic system controlled by an automaton with memory. The continuous part of the system is described by linear differential equations and the logical (automaton) part is described by linear recurrence equations. The moments of the state change of the automaton part are not known in advance and they are determined in the process of optimization. Modes with instant multiple switchings of the automaton part are admitted. Based on sufficient optimality conditions, we develop a technique for the synthesis of a feedback control. The application of the technique is demonstrated in an example.
English version:
Journal of Mathematical Sciences, 2014, Volume 199, Issue 5, Pages 488–500
DOI: https://doi.org/10.1007/s10958-014-1877-0
Bibliographic databases:
Document Type: Article
UDC: 519.8
Language: Russian
Citation: A. S. Bortakovskii, E. A. Pegachkova, “Synthesis of the optimal control of linear logical-dynamical systems under instant multiple switchings of the automaton part”, Proceedings of the International Conference on Mathematical Control Theory and Mechanics (Suzdal, July 3–7, 2009), CMFD, 42, PFUR, M., 2011, 36–47; Journal of Mathematical Sciences, 199:5 (2014), 488–500
Citation in format AMSBIB
\Bibitem{BorPeg11}
\by A.~S.~Bortakovskii, E.~A.~Pegachkova
\paper Synthesis of the optimal control of linear logical-dynamical systems under instant multiple switchings of the automaton part
\inbook Proceedings of the International Conference on Mathematical Control Theory and Mechanics (Suzdal, July 3--7, 2009)
\serial CMFD
\yr 2011
\vol 42
\pages 36--47
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd188}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3013826}
\transl
\jour Journal of Mathematical Sciences
\yr 2014
\vol 199
\issue 5
\pages 488--500
\crossref{https://doi.org/10.1007/s10958-014-1877-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84902766563}
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